Add and Subtract Rational Expressions
-$$\frac { x ^ { 2 } + 36 } { x ^ { 2 } + 2 x - 8 } + \frac { 11 x - 8 } { x ^ { 2 } + 2 x - 8 }$$

Question

Quizplus · Accepted Answer

The correct answer is A because the sum of the two rational expressions is $\frac { x ^ { 2 } + 36 + 11 x - 8 } { x ^ { 2 } + 2 x - 8 } = \frac { x ^ { 2 } + 11 x + 28 } { x ^ { 2 } + 2 x - 8 } = \frac { ( x + 7 ) ( x + 4 ) } { ( x + 4 ) ( x - 2 ) } = \frac { x + 7 } { x - 2 }$.

Add and Subtract Rational Expressions - x2+36x2+2x−8+11x−8x2+2x−8\frac { x ^ { 2 } + 36 } { x ^ { 2 } + 2 x - 8 } + \frac { 11 x - 8 } { x ^ { 2 } + 2 x - 8 }x2+2x−8x2+36​+x2+2x−811x−8​

Add and Subtract Rational Expressions
- $\frac { x ^ { 2 } + 36 } { x ^ { 2 } + 2 x - 8 } + \frac { 11 x - 8 } { x ^ { 2 } + 2 x - 8 }$